Sleep apnea is a sleep disorder characterized by pauses in breathing during sleep. Children with sleep apnea have behavior problems, including hyperactivity, inattention, and aggression, as well as impaired learning and diminished academic performance. The removal of tonsils and adenoids that are enlarged, causing the obstruction of the airways, is one of the most common treatments for pediatric sleep apnea. A clinical psychologist studies the effects of tonsillectomy and adenoidectomy on inattentive behavior. Her quasi-experiment includes three groups of 11 children. The first group of children does not have sleep apnea, the second group has untreated sleep apnea, and the third group has sleep apnea treated by tonsillectomies and adenoidectomies. Inattentiveness was measured using teacher reports on the Conners Rating Scale. The sample means and sums of squared deviations o the scores for each of the three groups are presented in the table that follows. Group No sleep apnea Untreated sleep apnea Treated sleep apnea Sample Mean Sum of Squares 0.3240 0.4410 0.2250 0.60 0.45 0.31 After collecting the data, the clinical psychologist analyzes the data using an ANOVA. The results of her analysis are presented in the ANOVA table that follows. Within Treatments Total ANOVA Table Source of Variation Sum of Squares Degrees of Freedom Between Treatments 2 30 32 0.4631 0.9900 1.4531 Mean Square F 7.02 0.2316 0.0330 The critical value of F when a = 0.01 is 5.390, meaning the critical region consists of all F-ratios greater than 5.390. The F-ratio is greater than this critical value, so you know that at least one difference exists among the treatments. Since more than two groups are involved, the psychologis is interested in determining which groups are different. The Scheffe test will be used to evaluate the pairs. Call the no sleep apnea group A, the untreated sleep apnea group B, and the treated sleep apnea group C. Start with the calculations you will need to evaluate the difference between the no sleep apnea group (A) and the untreated sleep apnea group (B). The SSbetween AİB . The FA versus i (Hint: Recall that you can use the sample size for each treatment (n = 11) and the treatment mean to compute each treatment total (T).) At a = 0.01, the psychologist conclude that the population means for children without sleep apnea and children with untreated sleep apnea differ. Next evaluate the difference between the no sleep apnea group (A) and the treated sleep apnea group (C). The SSbetween A The FA versus i
Sleep apnea is a sleep disorder characterized by pauses in breathing during sleep. Children with sleep apnea have behavior problems, including hyperactivity, inattention, and aggression, as well as impaired learning and diminished academic performance. The removal of tonsils and adenoids that are enlarged, causing the obstruction of the airways, is one of the most common treatments for pediatric sleep apnea. A clinical psychologist studies the effects of tonsillectomy and adenoidectomy on inattentive behavior. Her quasi-experiment includes three groups of 11 children. The first group of children does not have sleep apnea, the second group has untreated sleep apnea, and the third group has sleep apnea treated by tonsillectomies and adenoidectomies. Inattentiveness was measured using teacher reports on the Conners Rating Scale. The sample means and sums of squared deviations o the scores for each of the three groups are presented in the table that follows. Group No sleep apnea Untreated sleep apnea Treated sleep apnea Sample Mean Sum of Squares 0.3240 0.4410 0.2250 0.60 0.45 0.31 After collecting the data, the clinical psychologist analyzes the data using an ANOVA. The results of her analysis are presented in the ANOVA table that follows. Within Treatments Total ANOVA Table Source of Variation Sum of Squares Degrees of Freedom Between Treatments 2 30 32 0.4631 0.9900 1.4531 Mean Square F 7.02 0.2316 0.0330 The critical value of F when a = 0.01 is 5.390, meaning the critical region consists of all F-ratios greater than 5.390. The F-ratio is greater than this critical value, so you know that at least one difference exists among the treatments. Since more than two groups are involved, the psychologis is interested in determining which groups are different. The Scheffe test will be used to evaluate the pairs. Call the no sleep apnea group A, the untreated sleep apnea group B, and the treated sleep apnea group C. Start with the calculations you will need to evaluate the difference between the no sleep apnea group (A) and the untreated sleep apnea group (B). The SSbetween AİB . The FA versus i (Hint: Recall that you can use the sample size for each treatment (n = 11) and the treatment mean to compute each treatment total (T).) At a = 0.01, the psychologist conclude that the population means for children without sleep apnea and children with untreated sleep apnea differ. Next evaluate the difference between the no sleep apnea group (A) and the treated sleep apnea group (C). The SSbetween A The FA versus i
MATLAB: An Introduction with Applications
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Problem #11
![Sleep apnea is a sleep disorder characterized by pauses in breathing during sleep. Children with
sleep apnea have behavior problems, including hyperactivity, inattention, and aggression, as well
as impaired learning and diminished academic performance. The removal of tonsils and adenoids
that are enlarged, causing the obstruction of the airways, is one of the most common treatments
for pediatric sleep apnea.
A clinical psychologist studies the effects of tonsillectomy and adenoidectomy on inattentive
behavior. Her quasi-experiment includes three groups of 11 children. The first group of children
does not have sleep apnea, the second group has untreated sleep apnea, and the third group has
sleep apnea treated by tonsillectomies and adenoidectomies. Inattentiveness was measured using
teacher reports on the Conners Rating Scale. The sample means and sums of squared deviations of
the scores for each of the three groups are presented in the table that follows.
Group
No sleep apnea
Untreated sleep apnea
Treated sleep apnea
Sample Mean Sum of Squares
0.3240
0.4410
0.2250
0.60
0.45
0.31
After collecting the data, the clinical psychologist analyzes the data using an ANOVA. The results of
her analysis are presented in the ANOVA table that follows.
ANOVA Table
Source of Variation Sum of Squares Degrees of Freedom Mean Square F
Between Treatments
2
7.02
Within Treatments
30
Total
32
0.4631
0.9900
1.4531
0.2316
0.0330
The critical value of F when a = 0.01 is 5.390, meaning the critical region consists of all F-ratios
greater than 5.390. The F-ratio is greater than this critical value, so you know that at least one
difference exists among the treatments. Since more than two groups are involved, the psychologist
is interested in determining which groups are different. The Scheffe test will be used to evaluate
the pairs. Call the no sleep apnea group A, the untreated sleep apnea group B, and the treated
sleep apnea group C.
Start with the calculations you will need to evaluate the difference between the no sleep apnea
group (A) and the untreated sleep apnea group (B). The SSbetween AIB
The FA versus i
(Hint: Recall that you can use the sample size for each treatment (n = 11) and the treatment
mean to compute each treatment total (T).)
At a = 0.01, the psychologist
conclude that the population means for children without
sleep apnea and children with untreated sleep apnea differ.
Next evaluate the difference between the no sleep apnea group (A) and the treated sleep apnea
group (C). The SSbetween A
. The FA versus is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffedf9aab-e55c-4b6f-ba0f-4d84d8c232c5%2Faca51216-4193-4808-938a-74b1c65785f4%2Fichq2sf_processed.png&w=3840&q=75)
Transcribed Image Text:Sleep apnea is a sleep disorder characterized by pauses in breathing during sleep. Children with
sleep apnea have behavior problems, including hyperactivity, inattention, and aggression, as well
as impaired learning and diminished academic performance. The removal of tonsils and adenoids
that are enlarged, causing the obstruction of the airways, is one of the most common treatments
for pediatric sleep apnea.
A clinical psychologist studies the effects of tonsillectomy and adenoidectomy on inattentive
behavior. Her quasi-experiment includes three groups of 11 children. The first group of children
does not have sleep apnea, the second group has untreated sleep apnea, and the third group has
sleep apnea treated by tonsillectomies and adenoidectomies. Inattentiveness was measured using
teacher reports on the Conners Rating Scale. The sample means and sums of squared deviations of
the scores for each of the three groups are presented in the table that follows.
Group
No sleep apnea
Untreated sleep apnea
Treated sleep apnea
Sample Mean Sum of Squares
0.3240
0.4410
0.2250
0.60
0.45
0.31
After collecting the data, the clinical psychologist analyzes the data using an ANOVA. The results of
her analysis are presented in the ANOVA table that follows.
ANOVA Table
Source of Variation Sum of Squares Degrees of Freedom Mean Square F
Between Treatments
2
7.02
Within Treatments
30
Total
32
0.4631
0.9900
1.4531
0.2316
0.0330
The critical value of F when a = 0.01 is 5.390, meaning the critical region consists of all F-ratios
greater than 5.390. The F-ratio is greater than this critical value, so you know that at least one
difference exists among the treatments. Since more than two groups are involved, the psychologist
is interested in determining which groups are different. The Scheffe test will be used to evaluate
the pairs. Call the no sleep apnea group A, the untreated sleep apnea group B, and the treated
sleep apnea group C.
Start with the calculations you will need to evaluate the difference between the no sleep apnea
group (A) and the untreated sleep apnea group (B). The SSbetween AIB
The FA versus i
(Hint: Recall that you can use the sample size for each treatment (n = 11) and the treatment
mean to compute each treatment total (T).)
At a = 0.01, the psychologist
conclude that the population means for children without
sleep apnea and children with untreated sleep apnea differ.
Next evaluate the difference between the no sleep apnea group (A) and the treated sleep apnea
group (C). The SSbetween A
. The FA versus is
![At a = 0.01, the psychologist
conclude that the population means for children without
sleep apnea and children with treated sleep apnea differ.
Next calculate the values necessary to evaluate the difference between the untreated sleep apnea
group (B) and the treated sleep apnea group (C). The SSbetween Bİ€
. The FB versus is
conclude that the population means for children with
At a = 0.01, the psychologist
untreated sleep apnea and children with treated sleep apnea differ.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffedf9aab-e55c-4b6f-ba0f-4d84d8c232c5%2Faca51216-4193-4808-938a-74b1c65785f4%2Fehim8g_processed.png&w=3840&q=75)
Transcribed Image Text:At a = 0.01, the psychologist
conclude that the population means for children without
sleep apnea and children with treated sleep apnea differ.
Next calculate the values necessary to evaluate the difference between the untreated sleep apnea
group (B) and the treated sleep apnea group (C). The SSbetween Bİ€
. The FB versus is
conclude that the population means for children with
At a = 0.01, the psychologist
untreated sleep apnea and children with treated sleep apnea differ.
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